5. Carry out the following calculations and conversions by hand (showing all your working).

(a) Convert (A4B2.3)12 to decimal. (b) Convert the decimal number 254763 to octal.

(c) Express (C3B0)16 as an octal number.

(d) Compute the sum (100001010101)2 + (1101011110)2 (without changing the base).

(e) Convert (100110001111101)2 to a hexadecimal number and add it to (ABCDEF)16. Also express the result as a binary number.

[A = 10, B = 11, C = 12, D = 13, E = 14, F = 15]